Miners do choose. Giving transactions priority is called the "transaction fee" (am I missing something here?). In addition to that, there are out-of-band servic

Miners do choose. Giving transactions priority is called the "transaction fee" (am I missing something here?). In addition to that, there are out-of-band services called "transaction accelerators" that work directly with miners, but that is really only useful to bump up the priority of an existing slow/stuck transaction.